TSTP Solution File: LAT299+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT299+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:03:47 EDT 2023
% Result : Theorem 26.87s 27.14s
% Output : Proof 26.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT299+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 09:06:20 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 26.87/27.14 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.E4Dz6r22Xq/cvc5---1.0.5_9026.p...
% 26.87/27.14 ------- get file name : TPTP file name is LAT299+1
% 26.87/27.14 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9026.smt2...
% 26.87/27.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.87/27.14 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.87/27.14 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.87/27.14 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.87/27.14 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.87/27.14 % SZS status Theorem for LAT299+1
% 26.87/27.14 % SZS output start Proof for LAT299+1
% 26.87/27.14 (
% 26.87/27.14 (let ((_let_1 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k3_lattices A C D) B)))))) (tptp.m2_filter_2 B A)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k1_lattices A B C))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_filter_2 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (= (tptp.m2_filter_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k3_lattices A C D) B))))))))))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) B C))))))))))) (let ((_let_12 (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))))) (let ((_let_13 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (=> (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 B) (tptp.u2_lattices B) (tptp.u1_lattices B))) (forall ((C $$unsorted)) (=> (tptp.m2_filter_2 C A) (tptp.m2_filter_2 C B))))))))))) (let ((_let_14 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (= _let_15 _let_14))) (let ((_let_17 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (tptp.u2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_21 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (= _let_20 (tptp.k2_binop_1 _let_14 _let_14 _let_14 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40)))) (let ((_let_24 (tptp.k1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_25 (= _let_24 (tptp.k2_binop_1 _let_15 _let_15 _let_15 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40)))) (let ((_let_26 (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (tptp.r2_hidden _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (tptp.r2_hidden _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (tptp.u1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (and _let_16 _let_19 (= _let_31 _let_30)))) (let ((_let_33 (= (tptp.g3_lattices _let_15 _let_18 _let_31) (tptp.g3_lattices _let_14 _let_17 _let_30)))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.k2_zfmisc_1 _let_15 _let_15))) (let ((_let_36 (tptp.m1_relset_1 _let_31 _let_35 _let_15))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.v1_funct_2 _let_31 _let_35 _let_15))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.v1_funct_1 _let_31))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.m1_relset_1 _let_18 _let_35 _let_15))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.v1_funct_2 _let_18 _let_35 _let_15))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.v1_funct_1 _let_18))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_34 _let_32))) (let ((_let_49 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_2048 $$unsorted) (BOUND_VARIABLE_2046 $$unsorted) (BOUND_VARIABLE_2044 $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (or (not (tptp.v1_funct_1 B)) (not (tptp.v1_funct_2 B _let_1 A)) (not (tptp.m1_relset_1 B _let_1 A)) (not (tptp.v1_funct_1 C)) (not (tptp.v1_funct_2 C _let_1 A)) (not (tptp.m1_relset_1 C _let_1 A)) (not (= (tptp.g3_lattices A B C) (tptp.g3_lattices BOUND_VARIABLE_2044 BOUND_VARIABLE_2046 BOUND_VARIABLE_2048))) (and (= A BOUND_VARIABLE_2044) (= B BOUND_VARIABLE_2046) (= C BOUND_VARIABLE_2048))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (tptp.m2_relset_1 _let_31 _let_35 _let_15))) (let ((_let_52 (= _let_36 _let_51))) (let ((_let_53 (_let_2))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (and _let_40 _let_38 _let_51))) (let ((_let_56 (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55))) (let ((_let_59 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (or (not (tptp.l1_lattices A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (and _let_56 _let_61))) (let ((_let_63 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (forall ((A $$unsorted)) (or (not (tptp.l3_lattices A)) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((not (= (tptp.l3_lattices A) false))))) (let ((_let_70 (tptp.m2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_71 (tptp.m2_filter_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_78 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (or _let_80 _let_79 _let_64 _let_77 _let_76 _let_74 _let_34 _let_72 _let_70))) (let ((_let_82 (forall ((A $$unsorted) (BOUND_VARIABLE_1585 $$unsorted) (BOUND_VARIABLE_1583 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v3_struct_0 BOUND_VARIABLE_1583) (not (tptp.v10_lattices BOUND_VARIABLE_1583)) (not (tptp.l3_lattices BOUND_VARIABLE_1583)) (not (= (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.g3_lattices (tptp.u1_struct_0 BOUND_VARIABLE_1583) (tptp.u2_lattices BOUND_VARIABLE_1583) (tptp.u1_lattices BOUND_VARIABLE_1583)))) (not (tptp.m2_filter_2 BOUND_VARIABLE_1585 A)) (tptp.m2_filter_2 BOUND_VARIABLE_1585 BOUND_VARIABLE_1583))))) (let ((_let_83 (not _let_81))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (or))) (let ((_let_86 (not _let_82))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_84) :args (_let_86))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_82))) (REFL :args (_let_83)) :args _let_85)) _let_84 :args (_let_83 true _let_82)))) (let ((_let_88 (REFL :args (_let_81)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 2)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_85)) :args ((or _let_63 _let_81))) _let_87 :args (_let_63 true _let_81)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_62 (not _let_65)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_65 false _let_66)) :args (_let_62 false _let_63 false _let_65)))) (let ((_let_91 (not _let_62))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_55 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 0)) :args ((or _let_56 _let_91))) _let_90 :args (_let_56 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u1_lattices A)))) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_55 false _let_56 false _let_58)))) (let ((_let_93 (not _let_55))) (let ((_let_94 (tptp.m2_relset_1 _let_18 _let_35 _let_15))) (let ((_let_95 (= _let_42 _let_94))) (let ((_let_96 (and _let_46 _let_44 _let_94))) (let ((_let_97 (not _let_61))) (let ((_let_98 (or _let_97 _let_96))) (let ((_let_99 (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (or (not (tptp.l2_lattices A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 1)) :args ((or _let_61 _let_91))) _let_90 :args (_let_61 false _let_62)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_96 (not _let_98)))) _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.u2_lattices A)))) :args (_let_99))) _let_100 :args (_let_98 false _let_99)) :args (_let_96 false _let_61 false _let_98)))) (let ((_let_103 (not _let_96))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_34 _let_47 _let_45 _let_43 _let_41 _let_39 _let_37 _let_32 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 6)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_85)) :args ((or _let_33 _let_81))) _let_87 :args (_let_33 true _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_46 _let_103))) _let_102 :args (_let_46 false _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 1)) :args ((or _let_44 _let_103))) _let_102 :args (_let_44 false _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_95)) :args ((or _let_42 (not _let_94) (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 2)) :args ((or _let_94 _let_103))) _let_102 :args (_let_94 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_35 _let_15 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_53))) _let_54 :args (_let_95 false _let_2)) :args (_let_42 false _let_94 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_55 0)) :args ((or _let_40 _let_93))) _let_92 :args (_let_40 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_55 1)) :args ((or _let_38 _let_93))) _let_92 :args (_let_38 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_52)) :args ((or _let_36 (not _let_51) (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_55 2)) :args ((or _let_51 _let_93))) _let_92 :args (_let_51 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_35 _let_15 _let_31 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_53))) _let_54 :args (_let_52 false _let_2)) :args (_let_36 false _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_15 _let_18 _let_31 _let_30 _let_17 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_32 false _let_33 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_48)))) (let ((_let_105 (not _let_32))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_16 _let_105))) _let_104 :args (_let_16 false _let_32)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_19 _let_105))) _let_104 :args (_let_19 false _let_32)))) (let ((_let_108 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_14))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_14))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.l2_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.v4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_77 _let_115 _let_113 _let_111 _let_109 _let_22))) (let ((_let_117 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.v4_lattices A)) (not (tptp.l2_lattices A)) (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k1_lattices A B C))))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((tptp.k3_lattices A B C)))) (let ((_let_121 (and (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_122 (= _let_121 _let_28))) (let ((_let_123 (or _let_111 _let_109 _let_122))) (let ((_let_124 (forall ((C $$unsorted) (BOUND_VARIABLE_1740 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1740 _let_1)) (= (and (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden BOUND_VARIABLE_1740 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.r2_hidden (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C BOUND_VARIABLE_1740) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_125 (not _let_123))) (let ((_let_126 (forall ((C $$unsorted) (BOUND_VARIABLE_2240 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2240 _let_1)) (= (and (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden BOUND_VARIABLE_2240 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.r2_hidden (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 C BOUND_VARIABLE_2240) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_127 (not _let_124))) (let ((_let_128 (not _let_126))) (let ((_let_129 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_zfmisc_1 _let_14)))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.v1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_132 (or _let_77 _let_76 _let_74 _let_131 _let_130 _let_128 _let_70))) (let ((_let_133 (forall ((A $$unsorted) (BOUND_VARIABLE_2273 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_2273) (not (tptp.m1_subset_1 BOUND_VARIABLE_2273 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (forall ((C $$unsorted) (BOUND_VARIABLE_2240 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_2240 _let_1)) (= (and (tptp.r2_hidden C BOUND_VARIABLE_2273) (tptp.r2_hidden BOUND_VARIABLE_2240 BOUND_VARIABLE_2273)) (tptp.r2_hidden (tptp.k3_lattices A C BOUND_VARIABLE_2240) BOUND_VARIABLE_2273)))))) (tptp.m2_filter_2 BOUND_VARIABLE_2273 A))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.k1_zfmisc_1 _let_15)))) (let ((_let_136 (tptp.m2_lattice4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_80 _let_79 _let_64 _let_137 _let_135))) (let ((_let_139 (forall ((A $$unsorted) (BOUND_VARIABLE_1879 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_lattice4 BOUND_VARIABLE_1879 A)) (tptp.m1_subset_1 BOUND_VARIABLE_1879 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (not _let_131))) (let ((_let_142 (and _let_141 _let_136))) (let ((_let_143 (or _let_80 _let_79 _let_64 _let_72 _let_142))) (let ((_let_144 (forall ((A $$unsorted) (BOUND_VARIABLE_1853 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (not (tptp.m2_filter_2 BOUND_VARIABLE_1853 A)) (and (not (tptp.v1_xboole_0 BOUND_VARIABLE_1853)) (tptp.m2_lattice4 BOUND_VARIABLE_1853 A)))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 7)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_85)) :args ((or _let_71 _let_81))) _let_87 :args (_let_71 true _let_81)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 1)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_85)) :args ((or _let_78 _let_81))) _let_87 :args (_let_78 true _let_81)))) (let ((_let_148 (not _let_80))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_81 0)) _let_87 :args (_let_148 true _let_81)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_80 _let_79 _let_64 _let_72 _let_142 (not _let_143)))) _let_149 _let_147 _let_89 _let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_filter_2 BOUND_VARIABLE_1853 A) false))))) :args (_let_144))) _let_145 :args (_let_143 false _let_144)) :args (_let_142 true _let_80 false _let_78 false _let_63 false _let_71 false _let_143)))) (let ((_let_151 (not _let_142))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_142 1)) :args ((or _let_136 _let_151))) _let_150 :args (_let_136 false _let_142)))) (let ((_let_153 (not _let_16))) (let ((_let_154 (and _let_16 _let_135))) (let ((_let_155 (ASSUME :args (_let_135)))) (let ((_let_156 (APPLY_UF tptp.m1_subset_1))) (let ((_let_157 (ASSUME :args (_let_16)))) (let ((_let_158 (SYMM (SYMM _let_157)))) (let ((_let_159 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_142 0)) :args ((or _let_141 _let_151))) _let_150 :args (_let_141 false _let_142)))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 5)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_85)) :args ((or _let_73 _let_81))) _let_87 :args (_let_73 true _let_81)))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 4)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_75))) :args _let_85)) :args ((or _let_75 _let_81))) _let_87 :args (_let_75 true _let_81)))) (let ((_let_163 (not _let_77))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_81 3)) _let_87 :args (_let_163 true _let_81)))) (let ((_let_165 (_let_127))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_165)) :args _let_165)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_124))) (REFL :args (_let_125)) :args _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_124 (= C C) (= BOUND_VARIABLE_1740 BOUND_VARIABLE_2240)))) :args ((or _let_126 _let_127))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_77 _let_76 _let_74 _let_70 _let_131 _let_130 _let_128 (not _let_132)))) _let_164 _let_162 _let_161 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_81 8)) _let_87 :args ((not _let_70) true _let_81)) _let_160 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_154)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_155 _let_157) (SCOPE (TRUE_ELIM (TRANS (CONG _let_159 (CONG (SYMM _let_158) :args (APPLY_UF tptp.k1_zfmisc_1)) :args _let_156) (TRUE_INTRO _let_155))) :args (_let_135 _let_16))) :args (_let_16 _let_135))) :args (true _let_154)) :args ((or _let_129 _let_153 (not _let_135)))) _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_80 _let_79 _let_64 _let_137 _let_135 (not _let_138)))) _let_149 _let_147 _let_89 _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_139))) _let_140 :args (_let_138 false _let_139)) :args (_let_135 true _let_80 false _let_78 false _let_63 false _let_136 false _let_138)) :args (_let_129 false _let_16 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.m2_filter_2 BOUND_VARIABLE_2273 A) true))))) :args (_let_133))) _let_134 :args (_let_132 false _let_133)) :args (_let_128 true _let_77 false _let_75 false _let_73 true _let_70 true _let_131 false _let_129 false _let_132)) :args (_let_127 true _let_126)) :args (_let_125 true _let_124)))) (let ((_let_167 (REFL :args (_let_123)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_123 1)) (CONG _let_167 (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_108))) :args _let_85)) :args ((or _let_108 _let_123))) _let_166 :args (_let_108 true _let_123)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_123 0)) (CONG _let_167 (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_110))) :args _let_85)) :args ((or _let_110 _let_123))) _let_166 :args (_let_110 true _let_123)))) (let ((_let_170 (and _let_163 _let_114 (tptp.v5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.v6_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.v7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.v8_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.v9_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_171 (or _let_74 _let_77 _let_76 _let_170))) (let ((_let_172 (forall ((A $$unsorted)) (let ((_let_1 (tptp.v3_struct_0 A))) (or (not (tptp.l3_lattices A)) _let_1 (not (tptp.v10_lattices A)) (and (not _let_1) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A))))))) (let ((_let_173 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_174 (_let_172))) (let ((_let_175 ((not (= (tptp.l3_lattices A) false))))) (let ((_let_176 (and (tptp.l1_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_112))) (let ((_let_177 (or _let_74 _let_176))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_176 1)) :args ((or _let_112 (not _let_176)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_177)) :args ((or _let_74 _let_176 (not _let_177)))) _let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_177 false _let_66)) :args (_let_176 false _let_73 false _let_177)) :args (_let_112 false _let_176)))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_77 _let_113 _let_115 _let_111 _let_109 _let_22 (not _let_116)))) _let_164 _let_178 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_170 1)) :args ((or _let_114 (not _let_170)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_77 _let_76 _let_74 _let_170 (not _let_171)))) _let_164 _let_162 _let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_174)) _let_173 :args (_let_171 false _let_172)) :args (_let_170 true _let_77 false _let_75 false _let_73 false _let_171)) :args (_let_114 false _let_170)) _let_169 _let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_116 false _let_117)) :args (_let_22 true _let_77 false _let_112 false _let_114 false _let_110 false _let_108 false _let_116)))) (let ((_let_180 (or _let_77 _let_113 _let_111 _let_109 _let_23))) (let ((_let_181 (forall ((A $$unsorted) (BOUND_VARIABLE_1716 $$unsorted) (BOUND_VARIABLE_1714 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (tptp.v3_struct_0 A) (not (tptp.l2_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1714 _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1716 _let_1)) (= (tptp.k1_lattices A BOUND_VARIABLE_1714 BOUND_VARIABLE_1716) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) BOUND_VARIABLE_1714 BOUND_VARIABLE_1716))))))) (let ((_let_182 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_183 (_let_181))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_77 _let_113 _let_111 _let_109 _let_23 (not _let_180)))) _let_164 _let_178 _let_169 _let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k1_lattices A BOUND_VARIABLE_1714 BOUND_VARIABLE_1716)))) :args _let_183)) _let_182 :args (_let_180 false _let_181)) :args (_let_23 true _let_77 false _let_112 false _let_110 false _let_108 false _let_180)))) (let ((_let_185 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_15))) (let ((_let_186 (not _let_185))) (let ((_let_187 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_15))) (let ((_let_188 (not _let_187))) (let ((_let_189 (or _let_80 _let_97 _let_188 _let_186 _let_25))) (let ((_let_190 (tptp.u1_struct_0 A))) (let ((_let_191 (and _let_16 _let_108))) (let ((_let_192 (ASSUME :args (_let_108)))) (let ((_let_193 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40)))) (let ((_let_194 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_191)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_192 _let_157) (SCOPE (TRUE_ELIM (TRANS (CONG _let_193 _let_158 :args _let_156) (TRUE_INTRO _let_192))) :args (_let_108 _let_16))) :args (_let_16 _let_108))) :args (true _let_191)) _let_106 _let_168 :args (_let_185 false _let_16 false _let_108)))) (let ((_let_195 (and _let_16 _let_110))) (let ((_let_196 (ASSUME :args (_let_110)))) (let ((_let_197 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39)))) (let ((_let_198 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_195)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_196 _let_157) (SCOPE (TRUE_ELIM (TRANS (CONG _let_197 _let_158 :args _let_156) (TRUE_INTRO _let_196))) :args (_let_110 _let_16))) :args (_let_16 _let_110))) :args (true _let_195)) _let_106 _let_169 :args (_let_187 false _let_16 false _let_110)))) (let ((_let_199 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_80 _let_97 _let_188 _let_186 _let_25 (not _let_189)))) _let_149 _let_101 _let_198 _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 BOUND_VARIABLE_1714 _let_190) false)) (not (= (tptp.m1_subset_1 BOUND_VARIABLE_1716 _let_190) false))))) :args _let_183)) _let_182 :args (_let_189 false _let_181)) :args (_let_25 true _let_80 false _let_61 false _let_187 false _let_185 false _let_189)))) (let ((_let_200 (tptp.v4_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_201 (not _let_200))) (let ((_let_202 (or _let_80 _let_201 _let_97 _let_188 _let_186 _let_27))) (let ((_let_203 (and _let_148 _let_200 (tptp.v5_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v6_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v7_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v8_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.v9_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_204 (or _let_64 _let_80 _let_79 _let_203))) (let ((_let_205 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_202)) :args ((or _let_80 _let_97 _let_201 _let_188 _let_186 _let_27 (not _let_202)))) _let_149 _let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_203 1)) :args ((or _let_200 (not _let_203)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_80 _let_79 _let_64 _let_203 (not _let_204)))) _let_149 _let_147 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_174)) _let_173 :args (_let_204 false _let_172)) :args (_let_203 true _let_80 false _let_78 false _let_63 false _let_204)) :args (_let_200 false _let_203)) _let_198 _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_202 false _let_117)) :args (_let_27 true _let_80 false _let_61 false _let_200 false _let_187 false _let_185 false _let_202)))) (let ((_let_206 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_123 2)) _let_166 :args ((not _let_122) true _let_123)))) (let ((_let_207 (= _let_121 _let_29))) (let ((_let_208 (not _let_121))) (let ((_let_209 (_let_122))) (let ((_let_210 (or _let_188 _let_186 _let_207))) (let ((_let_211 (forall ((C $$unsorted) (BOUND_VARIABLE_1740 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1740 _let_1)) (= (and (tptp.r2_hidden C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.r2_hidden BOUND_VARIABLE_1740 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.r2_hidden (tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C BOUND_VARIABLE_1740) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_212 (= _let_71 _let_211))) (let ((_let_213 (or _let_80 _let_79 _let_64 _let_131 _let_137 _let_212))) (let ((_let_214 (forall ((A $$unsorted) (BOUND_VARIABLE_1771 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.l3_lattices A)) (tptp.v1_xboole_0 BOUND_VARIABLE_1771) (not (tptp.m2_lattice4 BOUND_VARIABLE_1771 A)) (= (tptp.m2_filter_2 BOUND_VARIABLE_1771 A) (forall ((C $$unsorted) (BOUND_VARIABLE_1740 $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (or (not (tptp.m1_subset_1 C _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1740 _let_1)) (= (and (tptp.r2_hidden C BOUND_VARIABLE_1771) (tptp.r2_hidden BOUND_VARIABLE_1740 BOUND_VARIABLE_1771)) (tptp.r2_hidden (tptp.k3_lattices A C BOUND_VARIABLE_1740) BOUND_VARIABLE_1771)))))))))) (let ((_let_215 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_216 (_let_211))) (let ((_let_217 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_210)) :args ((or _let_188 _let_186 _let_207 (not _let_210)))) _let_198 _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_216) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C BOUND_VARIABLE_1740)))) :args _let_216)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_212)) :args ((or _let_72 _let_211 (not _let_212)))) _let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_80 _let_79 _let_64 _let_131 _let_137 _let_212 (not _let_213)))) _let_149 _let_147 _let_89 _let_160 _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_filter_2 BOUND_VARIABLE_1771 A)))) :args (_let_214))) _let_215 :args (_let_213 false _let_214)) :args (_let_212 true _let_80 false _let_78 false _let_63 true _let_131 false _let_136 false _let_213)) :args (_let_211 false _let_71 false _let_212)) :args (_let_210 false _let_211)) :args (_let_207 false _let_187 false _let_185 false _let_210)))) (let ((_let_218 (not _let_207))) (let ((_let_219 (_let_207))) (let ((_let_220 (not _let_29))) (let ((_let_221 (not _let_27))) (let ((_let_222 (not _let_25))) (let ((_let_223 (not _let_23))) (let ((_let_224 (not _let_22))) (let ((_let_225 (not _let_28))) (let ((_let_226 (not _let_19))) (let ((_let_227 (and _let_16 _let_19 _let_225 _let_22 _let_23 _let_25 _let_27))) (let ((_let_228 (ASSUME :args (_let_225)))) (let ((_let_229 (ASSUME :args (_let_22)))) (let ((_let_230 (ASSUME :args (_let_23)))) (let ((_let_231 (ASSUME :args (_let_19)))) (let ((_let_232 (ASSUME :args (_let_25)))) (let ((_let_233 (ASSUME :args (_let_27)))) (let ((_let_234 (CONG (TRANS (SYMM (SYMM _let_233)) (SYMM (SYMM _let_232)) (CONG _let_158 _let_158 _let_158 (SYMM (SYMM _let_231)) _let_197 _let_193 :args (APPLY_UF tptp.k2_binop_1)) (SYMM _let_230) (SYMM _let_229)) _let_159 :args (APPLY_UF tptp.r2_hidden)))) (let ((_let_235 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_227)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_228 _let_229 _let_230 _let_157 _let_231 _let_232 _let_233) (SCOPE (FALSE_ELIM (TRANS _let_234 (FALSE_INTRO _let_228))) :args (_let_225 _let_22 _let_23 _let_16 _let_19 _let_25 _let_27))) :args (_let_16 _let_19 _let_225 _let_22 _let_23 _let_25 _let_27))) :args (true _let_227)) (CONG (REFL :args (_let_153)) (REFL :args (_let_226)) (MACRO_SR_PRED_INTRO :args ((= (not _let_225) _let_28))) (REFL :args (_let_224)) (REFL :args (_let_223)) (REFL :args (_let_222)) (REFL :args (_let_221)) (REFL :args (_let_220)) :args _let_85)) _let_205 _let_199 _let_184 _let_179 _let_107 _let_106 (REORDERING (CNF_EQUIV_POS1 :args _let_219) :args ((or _let_208 _let_29 _let_218))) _let_217 (CNF_EQUIV_NEG2 :args _let_209) _let_206 :args (_let_208 false _let_27 false _let_25 false _let_23 false _let_22 false _let_19 false _let_16 false _let_29 false _let_207 true _let_28 true _let_122)))) (let ((_let_236 (and _let_16 _let_19 _let_28 _let_22 _let_23 _let_25 _let_27))) (let ((_let_237 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_236)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_237 _let_229 _let_230 _let_157 _let_231 _let_232 _let_233) (SCOPE (TRUE_ELIM (TRANS _let_234 (TRUE_INTRO _let_237))) :args (_let_28 _let_22 _let_23 _let_16 _let_19 _let_25 _let_27))) :args (_let_16 _let_19 _let_28 _let_22 _let_23 _let_25 _let_27))) :args (true _let_236)) :args ((or _let_153 _let_226 _let_225 _let_224 _let_29 _let_223 _let_222 _let_221))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_219) :args ((or _let_121 _let_220 _let_218))) _let_235 _let_217 :args (_let_220 true _let_121 false _let_207)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_209) :args ((or _let_121 _let_28 _let_122))) _let_235 _let_206 :args (_let_28 true _let_121 true _let_122)) _let_205 _let_199 _let_184 _let_179 _let_107 _let_106 :args (false true _let_29 false _let_28 false _let_27 false _let_25 false _let_23 false _let_22 false _let_19 false _let_16)) :args (_let_13 (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (=> (tptp.v3_lattices A) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) _let_12 (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A C B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_lattices A B C) _let_1)))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_lattices A B C) _let_1)))) true (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) true (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) _let_9 true true _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) _let_6 true _let_5 (exists ((A $$unsorted)) (tptp.l1_lattices A)) (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_filter_2 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_lattice4 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 tptp.k1_xboole_0) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_realset1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) _let_4 (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_lattice4 B A) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.87/27.15 )
% 26.87/27.15 % SZS output end Proof for LAT299+1
% 26.87/27.15 % cvc5---1.0.5 exiting
% 26.87/27.15 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------